The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.)

A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 5 miles. The length BC of the triangle is labeled as 2 miles.

Which of the following choices is closest to the distance (in miles) between points A and B?

1.73 miles

2.65 miles

3.16 miles

4.58 miles